LCM of 765, 558, 798, 901, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 558, 798, 901, 278 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 765, 558, 798, 901, 278. So, keep reading to learn more.
Given numbers are 765,558,798,901,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,558,798,901,278 is 46472435730.
Find LCM of 765,558,798,901,278 with Prime Factorization
| 2 | 765, 558, 798, 901, 278 |
| 3 | 765, 279, 399, 901, 139 |
| 3 | 255, 93, 133, 901, 139 |
| 17 | 85, 31, 133, 901, 139 |
| 5, 31, 133, 53, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 5 x 31 x 133 x 53 x 139 = 46472435730
Therefore, the lowest common multiple of 765,558,798,901,278 is 46472435730.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
765 x 558 x 798 x 901 x 278 = 85323392000280
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
901 : 1, 17, 53, 901
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,558,798,901,278, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
558:2x 3x 3x 31
798:2x 3x 7x 19
901:17x 53
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 85323392000280/(1x1836)
LCM = 85323392000280/1836
LCM = 46472435730
Thus, we can understand that the LCM of 765,558,798,901,278 is 46472435730.
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FAQs on LCM of 765, 558, 798, 901, 278
1. What is the LCM of 765, 558, 798, 901, 278?
Answer: LCM of 765, 558, 798, 901, 278 is 46472435730.
2. How to calculate the LCM of 765, 558, 798, 901, 278?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 765, 558, 798, 901, 278.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.